# How do you find slope and intercepts to graph y = 1/2x + 2.3?

May 21, 2018

slope = $\frac{1}{2}$
y-intercept = $2.3$
x-intercept = $- 4.6$

#### Explanation:

From the slope-intercept formula:
$y = m x + b$

where $m$ is the slope
and $+ b$ is the y-intercept

so

the slope is $\frac{1}{2}$

the y-intercept is 2.3

to find x-intercept make $y = 0$ and solve

so

$0 = \frac{1}{2} x + 2.3$

solve for x

subtract 2.3 from both sides

$- 2.3 = \frac{1}{2} x$

multiply both sides by 2

$- 4.6 = x$

x-intercept $= - 4.6$